A Meshless Finite Difference Method Based on Polynomial Interpolation

Author:

Huang X. W.ORCID,Wu C. S.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference33 articles.

1. Barnett, G.A.: A robust RBF-FD formulation based on polyharmonic splines and polynomials. Ph.D. Thesis, the Department of Applied Mathematics at the University of Colorado, Boulder (2015)

2. Bayona, V., Fornberg, B., Flyer, N., Barnett, G.A.: On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. J. Comput. Phys. 332, 257–273 (2017)

3. Bayona, V., Moscoso, M., Carretero, M., Kindelan, M.: RBF-FD formulas and convergence properties. J. Comput. Phys. 229(22), 8281–8295 (2010)

4. Cao, Y., Dong, J.L., Yao, L.Q.: A modification of the moving least-squares approximation in the element-free Galerkin method. J. Appl. Math. 2014(2), 1–13 (2014)

5. Davydov, O., Dang, T.O.: On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation. Comput. Math. Appl. 62(5), 2143–2161 (2011)

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